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Finding the Third Proportional to 172,680,089.63 and 265,689,666

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Solution

The third proportional to 172,680,089.63 and 265,689,666 is: 408,796,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,680,089.63 : 265,689,666 = 265,689,666 : x
  2. Step 2: Convert to fraction form
    172,680,089.63/265,689,666 = 265,689,666/x
  3. Step 3: Cross multiply
    172,680,089.63x = 265,689,666 × 265,689,666
  4. Step 4: Simplify right side
    172,680,089.63x = 70,590,998,619,191,552
  5. Step 5: Solve for x
    x = 70,590,998,619,191,552/172,680,089.63
  6. Step 6: Final answer
    x = 408,796,397.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.